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Math Help - linear equation

  1. #1
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    linear equation

    Hi,

    A linear equation can be represented as:

    y=mx+b
    Ax+By+C=0

    I can't understand these equations.

    1 - In the case y=mx+b, what the y variable represents?
    If m represent the slope, and b the place where the straight line crosses the yy axis, what the y means?


    For example, m=1, x=2 and b=3:
    y=1*2+3=5.

    What the number 5 means?

    2 -
    How can I draw a line in the graph that satisfies that Ax+By+C=0?

    3 -
    What's the purpose of the variable A, B and C?

    Thanks,
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  2. #2
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    Quote Originally Posted by pedrosacosta View Post
    Hi,

    A linear equation can be represented as:

    y=mx+b
    Ax+By+C=0

    I can't understand these equations.

    1 - In the case y=mx+b, what the y variable represents?
    If m represent the slope, and b the place where the straight line crosses the yy axis, what the y means?


    \color{red}\mbox{Like in ANY other function, the y and x represent a certain relation between}  \color{red}\mbox{the cooordinates of any point}  \color{red}\mbox{ in the xy-plane belonging to the graph of the function}


    For example, m=1, x=2 and b=3:
    y=1*2+3=5.

    What the number 5 means?

    \color{red}\mbox{means that y=5 when x=3, or what is the same:} \color{red}\mbox{ the point (3,5) in the xy-plane belongs to the straight line}  \color{red}\mbox{whose equations is y = x + 3}

    \color{red}\mbox{Note that y=x+3 really means that ANY point on the line} \color{red}\mbox{ can be expressed as (x,x+3)}


    2 -
    How can I draw a line in the graph that satisfies that Ax+By+C=0?

    == Choose at least two different values for x and after plugging each of them in the equation find the corresponding values for y, this way you get two points on the line and you can join them with a straight line.

    3 -
    What's the purpose of the variable A, B and C?

    == To determine the relation between the x-coordinate and the y-coordinate of each point of the plane belonging to the line

    Tonio


    Thanks,
    .
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